Your Results | Global Average | |
---|---|---|
Questions | 5 | 5 |
Correct | 0 | 3.70 |
Score | 0% | 74% |
If all of a roofing company's 9 workers are required to staff 3 roofing crews, how many workers need to be added during the busy season in order to send 6 complete crews out on jobs?
9 | |
8 | |
12 | |
14 |
In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 9 workers at the company now and that's enough to staff 3 crews so there are \( \frac{9}{3} \) = 3 workers on a crew. 6 crews are needed for the busy season which, at 3 workers per crew, means that the roofing company will need 6 x 3 = 18 total workers to staff the crews during the busy season. The company already employs 9 workers so they need to add 18 - 9 = 9 new staff for the busy season.
What is the next number in this sequence: 1, 6, 11, 16, 21, __________ ?
26 | |
31 | |
21 | |
27 |
The equation for this sequence is:
an = an-1 + 5
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 5
a6 = 21 + 5
a6 = 26
What is -3c5 x 9c7?
6c5 | |
-27c12 | |
6c12 | |
-27c7 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
-3c5 x 9c7
(-3 x 9)c(5 + 7)
-27c12
Find the average of the following numbers: 18, 10, 16, 12.
11 | |
12 | |
13 | |
14 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{18 + 10 + 16 + 12}{4} \) = \( \frac{56}{4} \) = 14
Damon loaned Ezra $1,400 at an annual interest rate of 9%. If no payments are made, what is the interest owed on this loan at the end of the first year?
$54 | |
$4 | |
$13 | |
$126 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $1,400
i = 0.09 x $1,400
i = $126